Question 24

For the given figure statements p and q are given below:
p: a and b are forming a linear pair.
q: a and b are forming a pair of adjacent angles.
Then,

(a) both p and q are true
(b) p is true and q is false
(c) p is false and q is true
(d) both p and q are false

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Solution

Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.
$∴$ a and b are the pair of adjacent angles and form a linear pair.

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Question 24

For the given figure statements p and q are given below:
p: a and b are forming a linear pair.
q: a and b are forming a pair of adjacent angles.
Then,

(a) both p and q are true
(b) p is true and q is false
(c) p is false and q is true
(d) both p and q are false

Which of the following statements are true., (T) and which are false (F)?

(i) Angles forming a linear pair are supplementary.
(ii) If two adjacent angles are equal, then each angle measures $90^{\circ}$ .
(iii) Angles forming a linear pair can both be acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure $90^{\circ}$ .

Q. (i)
Assertion: A circle is not a rectilinear figure.
Reason: A figure formed by straight lines only is called a rectilinear figure.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.
(ii)
Assertion: All right angles are equal to one another.
Reason: A unique line passes through a single point.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Consider the following two statements:
(A) The linear momentum of a particle is independent of the frame of reference.
(B) The kinetic energy of a particle is independent of the frame of reference.
(a) Both A and B are true.
(b) A is true but B is false.
(c) A is false but B is true.
(d) both A and B are false.

Consider the following two statements on power sharing and select the answer using the codes given below:

A. Power sharing is good for democracy.

B. It helps to reduce the possibility of conflict between social groups.

Which of these statements are true and false?

(a) A is true but B is false

(b) Both A and B are true

(d) A is false but B is true

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Adjacent Angles

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Question 24 For the given figure statements p and q are given below: p: a and b are forming a linear pair. q: a and b are forming a pair of adjacent angles. Then, (a) both p and q are true (b) p is true and q is false (c) p is false and q is true (d) both p and q are false

Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. ∴ a and b are the pair of adjacent angles and form a linear pair.

Question 24

For the given figure statements p and q are given below:
p: a and b are forming a linear pair.
q: a and b are forming a pair of adjacent angles.
Then,

(a) both p and q are true
(b) p is true and q is false
(c) p is false and q is true
(d) both p and q are false

Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.
$∴$ a and b are the pair of adjacent angles and form a linear pair.